Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Sep 2014, 02:07

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For which of the following values of n is (100+n)/n NOT an

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23055
Followers: 3535

Kudos [?]: 27190 [2] , given: 2725

For which of the following values of n is (100+n)/n NOT an [#permalink] New post 23 Jul 2012, 03:19
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

95% (01:20) correct 5% (00:07) wrong based on 618 sessions
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23055
Followers: 3535

Kudos [?]: 27190 [3] , given: 2725

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 23 Jul 2012, 03:19
3
This post received
KUDOS
Expert's post
SOLUTION

For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

\frac{100+n}{n}=\frac{100}{n}+\frac{n}{n}=\frac{100}{n}+1=\frac{100}{n}+integer.

Now, in order \frac{100}{n}+integer NOT to be an integer \frac{100}{n} must NOT be an integer, so n must NOT be a factor of 100. Hence n=3.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 28 Sep 2011
Posts: 67
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 15 [0], given: 9

GMAT ToolKit User
Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 23 Jul 2012, 20:56
Back solve. Immediately we realize 1,2,and 5 will yield integers. Also, 103 cannot be divisible by 3 since 1 + 0 + 3 is not divisible by 3.
Senior Manager
Senior Manager
User avatar
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 278
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Followers: 9

Kudos [?]: 25 [0], given: 282

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 24 Jul 2012, 20:41
this resolves to 100/n+1 this implies... plugging in 3 does not yield an integer.

Ans- C[/color]
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

1 KUDOS received
Manager
Manager
avatar
Joined: 26 Dec 2011
Posts: 117
Followers: 1

Kudos [?]: 10 [1] , given: 17

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 25 Jul 2012, 01:18
1
This post received
KUDOS
100+n/n ==> 100/n + 1, thus, if 100/n is not an integer then the sum will not be Integer...Plugging in numbers.. .we see that 3 satisfies.. Also, 100=2*2*5*5..thus, if the numbers in the answers are not one of these individual numbers/product of these numbers, will be the answer.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23055
Followers: 3535

Kudos [?]: 27190 [1] , given: 2725

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 27 Jul 2012, 05:41
1
This post received
KUDOS
Expert's post
SOLUTION

For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

\frac{100+n}{n}=\frac{100}{n}+\frac{n}{n}=\frac{100}{n}+1=\frac{100}{n}+integer.

Now, in order \frac{100}{n}+integer NOT to be an integer \frac{100}{n} must NOT be an integer, so n must NOT be a factor of 100. Hence n=3.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

2 KUDOS received
Intern
Intern
avatar
Joined: 04 Apr 2013
Posts: 18
GMAT 1: 710 Q48 V39
WE: Engineering (Aerospace and Defense)
Followers: 0

Kudos [?]: 11 [2] , given: 4

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 12 Apr 2013, 07:42
2
This post received
KUDOS
At first glance it was obvious to me to eliminate A, B and E answer choices. A quick way to avoid doing much mental math from that point on was to go back to smaller numbers that I knew were divisible and then make a judgement based on that. I started with 3. I stepped back to 99, a very clear multiple of 3. Add 99+3 = 102 which is clearly...not 103. We have our answer with no long division and really nothing more than identifying a clear multiple and adding 3. This allows for a solution in under 30 seconds for me. Hope this helps your speed.
CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2543
Followers: 199

Kudos [?]: 40 [0], given: 0

Premium Member
Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 11 May 2014, 07:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
avatar
Joined: 25 Mar 2013
Posts: 82
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 0

Kudos [?]: 9 [0], given: 45

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 30 Jun 2014, 20:28
Thinking : Divisibility
Eliminate 5 ,2 1 as these results an ineteger
Solved it by applying number 3 as 103/3 = Decimal
But can solve by just Divisibility rule: sum of all digits should be divisible by 3
mean 1+0+3= 4 cannot be divisble
Here apply the concept then can solve more accurate:):)
Director
Director
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 976
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 6

Kudos [?]: 248 [0], given: 167

Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 02 Jul 2014, 01:41
Just look at the options

100 is divisible by all except 3

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 144
Followers: 0

Kudos [?]: 3 [0], given: 78

CAT Tests
Re: For which of the following values of n is (100+n)/n NOT an [#permalink] New post 09 Sep 2014, 09:45
Bunuel wrote:
For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 2
Page: 152
Difficulty: 550




Apply divisibility rules ..... 1+0+3 =4 not divisible by 3
Re: For which of the following values of n is (100+n)/n NOT an   [#permalink] 09 Sep 2014, 09:45
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic Which of the following describes all values of n for which n hb 1 26 Jul 2013, 14:58
9 Experts publish their posts in the topic For which of the following values of x is Safiya 13 24 Aug 2010, 11:41
3 Experts publish their posts in the topic For which of the following values of x is nifoui 4 21 Mar 2010, 10:00
Which of the following is equal to the value of smarinov 2 24 Dec 2008, 15:12
Which of the following is equal to value of jlui4477 5 17 Apr 2006, 00:43
Display posts from previous: Sort by

For which of the following values of n is (100+n)/n NOT an

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.